A279641 Exponential transform of the eighth powers A001016.

1, 1, 257, 7330, 289925, 18565676, 1042651237, 69221777920, 5270005429705, 415374654294352, 35626036180630121, 3293064510986584544, 320276195119275204493, 32969303384902657225792, 3579970600334581051222093, 406942001917387287570455296

Offset: 0

Author

Alois P. Heinz, Dec 16 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..366

Crossrefs

Column k=8 of A279636.

Cf. A001016.

Programs

Maple

a:= proc(n) option remember; `if`(n=0, 1,
      add(binomial(n-1, j-1)*j^8*a(n-j), j=1..n))
    end:
seq(a(n), n=0..25);

Formula

E.g.f.: exp(exp(x)*(x^8+28*x^7+266*x^6+1050*x^5+1701*x^4+966*x^3 +127*x^2 +x)).